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Finding the Fourth Proportional to 3,171.21, 4,759.15 and 1,505.34

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Solution

The fourth proportional to 3,171.21, 4,759.15 and 1,505.34 is: 2,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.21 : 4,759.15 = 1,505.34 : x
  2. Step 2: Convert to fraction form
    3,171.21/4,759.15 = 1,505.34/x
  3. Step 3: Cross multiply
    3,171.21x = 4,759.15 × 1,505.34
  4. Step 4: Simplify right side
    3,171.21x = 7,164,138.86
  5. Step 5: Solve for x
    x = 7,164,138.86/3,171.21
  6. Step 6: Final answer
    x = 2,259.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.